There is a difference between knowing something, and believing it to be true.
I know that sometimes I feel good when I wake up. I know people say that drinking makes you feel not good when you wake up, sometimes.
It takes a bit of observation and some statistical sampling to connect those two together. Now I know it, and also believe it to be true.
Perhaps "aware" vs "aware that I am aware" was a bad way of phrasing it.